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A particle of unit mass is projected with speed at right angles to the radius vector at a distance a from a fixed point O and is subjected to a force F(r).
A small rectangle has a width of 4 feet and a length of 10 feet. A larger, similar rectangle has length of 12 feet. What is the perimeter of the large rectangle
A playground is 37 ft by 52 ft and surrounded by chain-link fencing. Calculate the area of given playground. (Round to the nearest tenth)
It holds 80 cubic inches of air. How many cubic feet of air is she using? Round to the nearest hundredth if necessary.
In a triangle ABC, the measure of angle B is 5 times the measure of angle A, and the measure of angle c is 3 degrees less than 4 times the measure of angle A.
Undefined terms, basic definitions of geometry, postulates, theorems, corollaries and problems based on the theorems.
If M is a nondegenerate connected point set, then is each point in M a limit point of M?
To chart the movement of a polar bear, scientists attached a radio transmitter to its neck. Two tracking stations monitor the radio signals.
For each of the equations identify the type of conic it is and list the major features associated with this type of conic.
Show that if f:X->Y is a continuous map between topological spaces and X is path connected, then the image f(Y) is also path connected.
Show that the projective space with a disk removed (more precisely, the image of a disk on S2 under the natural projection pi.
Translate the argument into symbolic form and (b) determine if the argument is valid or invalid.
If 35 people owned both a truck and a car and 15 people owned neither, how many people were interviewed?
For each of the 5 regular polyhedra, enumerate the number of vertices (v), edges (e), and faces (f), and then evaluate the quantity v - e + f.
In the following infinite game, Alice and John take turns moving. First, Alice picks a closed interval I1 of length <1.
Let (X,d) be a compact metric space, and let Con(X) denote the set of contraction maps on X.
Write the statement in symbolic form, The bonfire is not burning if and only if the tent is not pitched.
Prove that if m is a real number and m, m + 1, and m + 2 are the lengths of the three sides of a right triangle, then m = 3.
Use the definition of f(x)?8 as x ?8 to show that f(x) = x + 2 ?8 as x ?8 Provide complete and step by step solution for the question and show calculations
Why would the Pythagorean Theorem be applied instead of employing some other mathematical tool?
In the figure there are infinitely many circles approaching the vertices of an equilateral triangle, each circle touching other circles and sides.
At what rate is the angle between the string and the horizontal decreasing when 200ft of string has been let out?
Let f(x)=c/x+x^2. Determine all values of the constant c such that f has a relative minimum, but no relative maximum.
How large must a trust fund that pays 7.5% compounded continuously be, in order for a child on her 8th birthday to ensure sufficient funds at age 18?
Use the mean value theorem to show that at some time between 2:00 and 2:10 the acceleration is exactly 120 mi/h^2.